期刊名称:Pakistan Journal of Statistics and Operation Research
印刷版ISSN:2220-5810
出版年度:2020
卷号:16
期号:3
页码:587-598
DOI:10.18187/pjsor.v16i3.2624
语种:English
出版社:College of Statistical and Actuarial Sciences
摘要:A class of goodness of fit tests for Marshal-Olkin Extended Rayleigh distribution with estimated parameters is proposed. The tests are based on the empirical distribution function. For determination of asymptotic percentage points, Kolomogorov-Sminrov, Cramer-von-Mises, Anderson-Darling,Watson, and Liao-Shimokawa test statistic are used. This article uses Monte Carlo simulations to obtain asymptotic percentage points for Marshal-Olkin extended Rayleigh distribution. Moreover, power of the goodness of fit test statistics is investigated for this lifetime model against several alternatives.
关键词:Marshal-Olkin Extended Rayleigh distribution;Goodness of fit;Monte-Carlo simulation;Asymptotic percentage points;Power test